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Finding the Fourth Proportional to 77,158.44, 115,658.46 and 37,666.98

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Solution

The fourth proportional to 77,158.44, 115,658.46 and 37,666.98 is: 56,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,158.44 : 115,658.46 = 37,666.98 : x
  2. Step 2: Convert to fraction form
    77,158.44/115,658.46 = 37,666.98/x
  3. Step 3: Cross multiply
    77,158.44x = 115,658.46 × 37,666.98
  4. Step 4: Simplify right side
    77,158.44x = 4,356,504,899.65
  5. Step 5: Solve for x
    x = 4,356,504,899.65/77,158.44
  6. Step 6: Final answer
    x = 56,461.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.